106979456 has 48 divisors (see below), whose sum is σ = 218080590. Its totient is φ = 52263936.

The previous prime is 106979437. The next prime is 106979459. The reversal of 106979456 is 654979601.

It can be written as a sum of positive squares in only one way, i.e., 88661056 + 18318400 = 9416^2 + 4280^2 .

It is a super-2 number, since 2×106979456² = 22889208012111872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106979456.

It is not an unprimeable number, because it can be changed into a prime (106979459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 999755 + ... + 999861.

Almost surely, 2^106979456 is an apocalyptic number.

106979456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109040295).

106979456 is an abundant number, since it is smaller than the sum of its proper divisors (111101134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106979456 is an frugal number, since it uses more digits than its factorization.

106979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 106979456 is about 10343.0873533970. The cubic root of 106979456 is about 474.7155541674.

The spelling of 106979456 in words is "one hundred six million, nine hundred seventy-nine thousand, four hundred fifty-six".